B on center of 2 infinite wires with semi - circular end

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SUMMARY

The discussion focuses on calculating the magnetic field at point P due to two infinite wires with semi-circular ends. The magnetic field from the infinite straight wires is calculated using the formula \(\frac{\mu_0 I}{2 \pi a}\), resulting in a value of \(2 \times 10^{-5} \, \text{wb/m}^2\). The magnetic field from the semi-circular wire is derived from the formula \(\frac{\mu_0 I}{4a}\), yielding \(3.14 \times 10^{-5} \, \text{wb/m}^2\). The total magnetic field at point P is confirmed to be 0.514 gauss, validating the calculations presented.

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Homework Statement



upload_2017-12-23_13-16-7.png

Homework Equations

The Attempt at a Solution

Magnetic field due to both semi - infinite straight wires on P = Magnetic field due to infinite straight wire on P = ## \frac { \mu_0 I } { 2 \pi a } = 2 * 10 ^{-5} ~wb/m^2 ##

Magnetic field due to semi – circular wire on P = ## \frac { \mu_0 I } { 4a} = 3.14 * 10 ^{-5} ~wb/m^2 ##So, total magnetic field magnitude on P is = 0.514 gauss.

Is this correct?
 

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I concur with @Delta² . You work looks correct.
 
Thanks.
 

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